An NC Parallel Algorithm for Edge-Coloring Series-Parallel Multigraphs

نویسندگان

  • Xiao Zhou
  • Hitoshi Suzuki
  • Takao Nishizeki
چکیده

Many combinatorial problems can be efficiently solved in parallel for series]parallel multigraphs. The edge-coloring problem is one of a few combinatorial problems for which no NC parallel algorithm has been obtained for series]parallel multigraphs. This paper gives an NC parallel algorithm for the Ž . Ž . problem on series]parallel multigraphs G. It takes O log n time with O Dnrlog n processors, where n is the number of vertices and D is the maximum degree of G.

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عنوان ژورنال:
  • J. Algorithms

دوره 23  شماره 

صفحات  -

تاریخ انتشار 1997